Let M be an analytic real hypersurface through the origin in Cn+1 and let hol (M) denote the space of vector fields X=Re Z|M tangent to M in a neighborhood of the origin, where Z is a holomorphic vector field defined in a neighborhood of the origin. The hypersurface M is holomorphically nondegenerate at the origin if there is no holomorphic vector field tangent to M in a neighborhood of the origin. The main result of the paper is that hol (M) is finite dimensional if and only if M is holomorphically nondegenerate at the origin.

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Additional Information

ISSN

1080-6377

Print ISSN

0002-9327

Pages

pp. 209-233

Launched on MUSE

1996-02-01

Open Access

N

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